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Given a limited number of entries from the superposition of a low-rank matrix plus the product of a known fat compression matrix times a sparse matrix, recovery of the low-rank and sparse components is a fundamental task subsuming…

Multiagent Systems · Computer Science 2013-10-01 Morteza Mardani , Gonzalo Mateos , Georgios B. Giannakis

Co-clustering targets on grouping the samples (e.g., documents, users) and the features (e.g., words, ratings) simultaneously. It employs the dual relation and the bilateral information between the samples and features. In many realworld…

Machine Learning · Computer Science 2016-11-18 Ping Li , Jiajun Bu , Chun Chen , Zhanying He , Deng Cai

Spectral Clustering (SC) is one of the most widely used methods for data clustering. It first finds a low-dimensonal embedding $U$ of data by computing the eigenvectors of the normalized Laplacian matrix, and then performs k-means on…

Computer Vision and Pattern Recognition · Computer Science 2018-05-29 Canyi Lu , Shuicheng Yan , Zhouchen Lin

Sparse Subspace Clustering (SSC) has been used extensively for subspace identification tasks due to its theoretical guarantees and relative ease of implementation. However SSC has quadratic computation and memory requirements with respect…

Computer Vision and Pattern Recognition · Computer Science 2017-04-14 Stephen Tierney , Yi Guo , Junbin Gao

Spectral clustering is one of the most popular clustering methods. However, the high computational cost due to the involved eigen-decomposition procedure can immediately hinder its applications in large-scale tasks. In this paper we use…

Machine Learning · Computer Science 2023-01-24 Yongyu Wang

Registration networks have shown great application potentials in medical image analysis. However, supervised training methods have a great demand for large and high-quality labeled datasets, which is time-consuming and sometimes impractical…

Computer Vision and Pattern Recognition · Computer Science 2021-05-21 Dengqiang Jia , Shangqi Gao , Qunlong Chen , Xinzhe Luo , Xiahai Zhuang

Correlation clustering is a technique for aggregating data based on qualitative information about which pairs of objects are labeled 'similar' or 'dissimilar.' Because the optimization problem is NP-hard, much of the previous literature…

Machine Learning · Computer Science 2017-03-20 Nate Veldt , Anthony Wirth , David F. Gleich

We solve a weakly supervised regression problem. Under "weakly" we understand that for some training points the labels are known, for some unknown, and for others uncertain due to the presence of random noise or other reasons such as lack…

Machine Learning · Computer Science 2021-04-15 Vladimir Berikov , Alexander Litvinenko

This letter presents a new spectral-clustering-based approach to the subspace clustering problem. Underpinning the proposed method is a convex program for optimal direction search, which for each data point d finds an optimal direction in…

Computer Vision and Pattern Recognition · Computer Science 2017-11-28 Mostafa Rahmani , George Atia

Hyperspectral image super-resolution (HSI-SR) has emerged as a challenging yet critical problem in remote sensing. Existing approaches primarily focus on regularization techniques that leverage low-rankness and local smoothness priors.…

Numerical Analysis · Mathematics 2026-05-13 Jun Zhang , Chao Yi , Mingxi Ma , Mengling He , Chao Wang

Robust tensor recovery plays an instrumental role in robustifying tensor decompositions for multilinear data analysis against outliers, gross corruptions and missing values and has a diverse array of applications. In this paper, we study…

Machine Learning · Statistics 2014-08-26 Donald Goldfarb , Zhiwei Qin

The plenty information from multiple views data as well as the complementary information among different views are usually beneficial to various tasks, e.g., clustering, classification, de-noising. Multi-view subspace clustering is based on…

Computer Vision and Pattern Recognition · Computer Science 2016-09-02 Ming Yin , Junbin Gao , Shengli Xie , Yi Guo

Recently, tensor low-rank representation (TLRR) has become a popular tool for tensor data recovery and clustering, due to its empirical success and theoretical guarantees. However, existing TLRR methods consider Gaussian or gross sparse…

Machine Learning · Statistics 2024-04-29 Tong Wu

There has been a surge in the number of large and flat data sets - data sets containing a large number of features and a relatively small number of observations - due to the growing ability to collect and store information in medical…

Machine Learning · Statistics 2017-07-05 Hongyang Zhang , Ruben H. Zamar

In this paper, we develop a method for unsupervised clustering of two-way (matrix) data by combining two recent innovations from different fields: the Sparse Subspace Clustering (SSC) algorithm [10], which groups points coming from a union…

Machine Learning · Computer Science 2015-02-24 Eric Kernfeld , Shuchin Aeron , Misha Kilmer

Compression has emerged as one of the essential deep learning research topics, especially for the edge devices that have limited computation power and storage capacity. Among the main compression techniques, low-rank compression via matrix…

Machine Learning · Computer Science 2021-12-02 Moonjung Eo , Suhyun Kang , Wonjong Rhee

Deep Subspace Clustering Networks (DSC) provide an efficient solution to the problem of unsupervised subspace clustering by using an undercomplete deep auto-encoder with a fully-connected layer to exploit the self expressiveness property.…

Computer Vision and Pattern Recognition · Computer Science 2020-11-18 Jeya Maria Jose Valanarasu , Vishal M. Patel

Hyperspectral image (HSI) classification, which aims to assign an accurate label for hyperspectral pixels, has drawn great interest in recent years. Although low rank representation (LRR) has been used to classify HSI, its ability to…

Computer Vision and Pattern Recognition · Computer Science 2019-05-08 Qi Wang , Xiange He , Xuelong Li

The immense amount of daily generated and communicated data presents unique challenges in their processing. Clustering, the grouping of data without the presence of ground-truth labels, is an important tool for drawing inferences from data.…

Machine Learning · Statistics 2018-02-08 Panagiotis A. Traganitis , Georgios B. Giannakis

The recently established RPCA method provides us a convenient way to restore low-rank matrices from grossly corrupted observations. While elegant in theory and powerful in reality, RPCA may be not an ultimate solution to the low-rank matrix…

Methodology · Statistics 2014-07-17 Guangcan Liu , Ping Li